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belka [17]
3 years ago
14

7. Bill and Steve both owe their mother money. Bill owes his mother $300 and plans

Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0

Answer:

5 weeks

$175

Step-by-step explanation:

Bill owes his mother $300 and plans to pay her $25 every week.

Therefore, after w weeks he has to give her mother more C = 300 - 25w, amount of money.

Steve owes his mother $550 and plans to pay her  $75 every week.

Therefore, after w weeks he has to give her mother more C = 550 - 75w, amount of money.

If after w weeks they both will owe their mother the same amount of money, then  

300 - 25w = 550 - 75w

⇒ w = 5 weeks. (Answer)

Now, the amount of money will be $(300 - 25 × 5) = $175. (Answer)

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Then, for the region generated by  y = - x + 4:

V = \int\limits^4_0 {\pi.(-x+4)^{2} } \, dx

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3 years ago
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We want to find the values of a, b, c, and d such that the given matrix product is equal to a 2x2 identity matrix. We will solve a system of equations to find:

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  • d = -1

<h3>Presenting the equation:</h3>

Basically, we want to solve:

\left[\begin{array}{cc}-1&2\\a&1\end{array}\right]*\left[\begin{array}{cc}b&c\\1&d\end{array}\right] = \left[\begin{array}{cc}1&0\\0&1\end{array}\right]

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Replacing the value of a we get:

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So the values are:

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If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

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